Transformations Practice

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

What does it mean to shift a function to the right?

Back

Shifting a function to the right means adding a positive value to the x-variable in the function's equation.

Front

What does it mean to shift a function up?

Back

Shifting a function up means adding a positive value to the entire function, increasing its output values.

Front

What is the effect of reflecting a function over the x-axis?

Back

Reflecting a function over the x-axis changes the sign of the output values, effectively flipping the graph upside down.

Front

How does changing the equation to f(x) = (x-3)^3 - 4 affect the graph?

Back

This transformation shifts the graph of the parent function f(x) = x^3 to the right by 3 units and down by 4 units.

Front

What does it mean to compress a function vertically?

Back

Compressing a function vertically means multiplying the output values by a factor less than 1, making the graph shorter.

Front

What does it mean to stretch a function vertically?

Back

Stretching a function vertically means multiplying the output values by a factor greater than 1, making the graph taller.

Front

What is the parent function of a quadratic equation?

Back

The parent function of a quadratic equation is f(x) = x^2, which is a parabola opening upwards.

Front

What is the effect of the transformation f(x) = (x+5)^2?

Back

This transformation shifts the graph of the parent function f(x) = x^2 to the left by 5 units.

Front

What does the term 'dilation' refer to in transformations?

Back

Dilation refers to resizing a shape or graph, either enlarging or reducing it, while maintaining its proportions.